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Finding the Fourth Proportional to 557.24, 769.08 and 336.20

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Solution

The fourth proportional to 557.24, 769.08 and 336.20 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.24 : 769.08 = 336.20 : x
  2. Step 2: Convert to fraction form
    557.24/769.08 = 336.20/x
  3. Step 3: Cross multiply
    557.24x = 769.08 × 336.20
  4. Step 4: Simplify right side
    557.24x = 258,564.70
  5. Step 5: Solve for x
    x = 258,564.70/557.24
  6. Step 6: Final answer
    x = 464.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.